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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 13
546.4.a.e 546.a 1.a $1$ $32.215$ \(\Q\) None \(2\) \(3\) \(9\) \(-7\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+9q^{5}+6q^{6}+\cdots\)
546.4.a.k 546.a 1.a $2$ $32.215$ \(\Q(\sqrt{1401}) \) None \(4\) \(6\) \(5\) \(-14\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+(3-\beta )q^{5}+6q^{6}+\cdots\)
  displayed columns for results